Geometric Proofs Practice
Authored by Tricia Quade
Mathematics
9th Grade
CCSS covered
Used 890+ times
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About
This quiz focuses on geometric proofs and the logical reasoning required to justify each step in a formal proof sequence. Designed for grade 9 students, this assessment targets the foundational skills of identifying definitions, properties, and postulates that validate geometric statements. Students must demonstrate their understanding of fundamental geometric definitions including congruence, midpoint, complementary and supplementary angles, and angle/segment addition. The quiz progresses from basic definitional knowledge to more complex application of properties of equality and congruence, including reflexive, symmetric, and transitive properties. Students need a solid grasp of proof structure, understanding that each statement in a proof must be supported by a valid reason, whether it's given information, a definition, a postulate, or a previously proven theorem. The questions require students to think logically about the flow of mathematical reasoning and select the appropriate justification for each step in the proof process. Created by Tricia Quade, a Mathematics teacher in Singapore who teaches grade 9. This quiz serves as an excellent formative assessment tool to gauge student understanding of proof reasoning before moving into more complex geometric theorems and formal proof writing. Teachers can use this as a warm-up activity to activate prior knowledge, as guided practice during instruction on proof techniques, or as homework to reinforce the day's lesson on geometric reasoning. The quiz effectively prepares students for the rigorous proof-writing expectations they'll encounter throughout their geometry course and supports the development of logical thinking skills essential for mathematical success. This assessment aligns with Common Core State Standards G-CO.9 and G-CO.10, which emphasize proving geometric theorems and using coordinate geometry to prove simple geometric theorems algebraically, as well as supporting the Mathematical Practice Standard MP.3 regarding constructing viable arguments and critiquing the reasoning of others.
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the reason?
Tags
CCSS.HSG.SRT.B.4
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is the reason?
Tags
CCSS.4.G.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the reason?
Tags
CCSS.HSA.REI.C.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the reason?
Tags
CCSS.7.G.B.5
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the reason?
Tags
CCSS.HSG.CO.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Name the property of equality or congruence that justifies going from the first statement to the second statement.
Tags
CCSS.HSG.SRT.B.5
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Name the property of equality or congruence that justifies going from the first statement to the second statement.
Tags
CCSS.HSA.REI.A.1
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